### Brain Teasers

# Chemical Company

A chemical company spends x million dollars on research and finds that its profit can be expressed as a function of the amount of money spent on research. If Profit(x)= 30 + 6 log (x+2) how much will the company have to spend on research to increase its profit from its present level, with a research investment of 5 million dollars (P(5)), to 80 million dollars.

### Hint

1) assume all number's have millions as units.### Answer

P(5) = 30 + 6 log(5 + 2)----------------------------

log 2

= 46.84 million dollars

80 = 30 + 6 log2 (x + 2)

50 / 6 = log2 (x + 2)

250/6 = (x + 2)

x = 320.54 million dollars.

Therefore: increase in spending = 320.54 - 5 = 315.54 million

Hide Hint Show Hint Hide Answer Show Answer

## What Next?

**Solve a Similar Brain Teaser...**

Or, get a random brain teaser.

If you become a registered user you can vote on this brain teaser, keep track of

which ones you have seen, and even make your own.

## Follow Braingle!